9786636289600 has 189 divisors, whose sum is σ = 24265223315913. Its totient is φ = 3884972636160.

The previous prime is 9786636289499. The next prime is 9786636289643. The reversal of 9786636289600 is 69826366879.

It is a happy number.

The square root of 9786636289600 is 3128360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 119810130496 + 9666826159104 = 346136^2 + 3109152^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9786636289600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24651476602 + ... + 24651476998.

Almost surely, 2^{9786636289600} is an apocalyptic number.

9786636289600 is the 3128360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9786636289600

9786636289600 is an abundant number, since it is smaller than the sum of its proper divisors (14478587026313).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9786636289600 is an frugal number, since it uses more digits than its factorization.

9786636289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 70.

The spelling of 9786636289600 in words is "nine trillion, seven hundred eighty-six billion, six hundred thirty-six million, two hundred eighty-nine thousand, six hundred".